247430707034742 has 512 divisors, whose sum is σ = 700020219064320. Its totient is φ = 62923806720000.

The previous prime is 247430707034723. The next prime is 247430707034743.

247430707034742 is a `hidden beast` number, since 2 + 4 + 7 + 4 + 30 + 70 + 70 + 3 + 474 + 2 = 666.

247430707034742 is nontrivially palindromic in base 10.

247430707034742 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×247430707034742² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (247430707034743) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 87215616148 + ... + 87215618984.

It is an arithmetic number, because the mean of its divisors is an integer number (1367226990360).

Almost surely, 2^{247430707034742} is an apocalyptic number.

247430707034742 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 247430707034742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350010109532160).

247430707034742 is an abundant number, since it is smaller than the sum of its proper divisors (452589512029578).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

247430707034742 is a wasteful number, since it uses less digits than its factorization.

247430707034742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5205 (or 5199 counting only the distinct ones).

The product of its (nonzero) digits is 22127616, while the sum is 54.

The spelling of 247430707034742 in words is "two hundred forty-seven trillion, four hundred thirty billion, seven hundred seven million, thirty-four thousand, seven hundred forty-two".